101210312013 has 32 divisors (see below), whose sum is σ = 144376214400. Its totient is φ = 62882620416.

The previous prime is 101210311991. The next prime is 101210312059. The reversal of 101210312013 is 310213012101.

It is a happy number.

It is not a de Polignac number, because 101210312013 - 2⁶ = 101210311949 is a prime.

It is a super-2 number, since 2×101210312013² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101210311983 and 101210312001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210312513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 948745 + ... + 1050017.

It is an arithmetic number, because the mean of its divisors is an integer number (4511756700).

Almost surely, 2^101210312013 is an apocalyptic number.

It is an amenable number.

101210312013 is a deficient number, since it is larger than the sum of its proper divisors (43165902387).

101210312013 is a wasteful number, since it uses less digits than its factorization.

101210312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101581.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101210312013 its reverse (310213012101), we get a palindrome (411423324114).

The spelling of 101210312013 in words is "one hundred one billion, two hundred ten million, three hundred twelve thousand, thirteen".